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50 lines
2 KiB
TeX
50 lines
2 KiB
TeX
\documentclass[varwidth=false, border=2pt]{standalone}
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\usepackage{pgfplots}
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\usepackage{tikz}
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\usepackage{xcolor}
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\begin{document}
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\begin{tikzpicture}
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\definecolor{color1}{HTML}{332288}
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\definecolor{color2}{HTML}{FDB863}
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\definecolor{color3}{HTML}{B2ABD2}
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\definecolor{color4}{HTML}{5E3C99}
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\begin{axis}[
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legend pos=north west,
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legend cell align={left},
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axis x line=middle,
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axis y line=middle,
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x tick label style={/pgf/number format/fixed,
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/pgf/number format/fixed zerofill,
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/pgf/number format/precision=1},
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y tick label style={/pgf/number format/fixed,
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/pgf/number format/fixed zerofill,
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/pgf/number format/precision=1},
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grid = major,
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width=16cm,
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height=8cm,
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grid style={dashed, gray!30},
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xmin=-2, % start the diagram at this x-coordinate
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xmax= 2, % end the diagram at this x-coordinate
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ymin=-1, % start the diagram at this y-coordinate
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ymax= 2, % end the diagram at this y-coordinate
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%axis background/.style={fill=white},
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xlabel=x,
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ylabel=y,
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tick align=outside,
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enlargelimits=false]
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% plot the stirling-formulae
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\addplot[domain=-2:2, color1, ultra thick,samples=500] {1/(1+exp(-x))};
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\addplot[domain=-2:2, color2, ultra thick,samples=500] {tanh(x)};
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\addplot[domain=-2:2, color4, ultra thick,samples=500] {max(0, x)};
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\addplot[domain=-2:2, color4, ultra thick,samples=500, dashed] {ln(exp(x) + 1)};
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\addplot[domain=-2:2, color3, ultra thick,samples=500, dotted] {max(x, exp(x) - 1)};
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\addlegendentry{$\varphi_1(x)=\frac{1}{1+e^{-x}}$}
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\addlegendentry{$\varphi_2(x)=\tanh(x)$}
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\addlegendentry{$\varphi_3(x)=\max(0, x)$}
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\addlegendentry{$\varphi_4(x)=\log(e^x + 1)$}
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\addlegendentry{$\varphi_5(x)=\max(x, e^x - 1)$}
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\end{axis}
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\end{tikzpicture}
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\end{document}
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